/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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NO
Input TRS:
    1: ap(ap(g(),x),y) -> y
    2: ap(f(),x) -> ap(f(),app(g(),x))
Number of strict rules: 2
Direct poly ... removes: 1
  ap(x1,x2)		w: (1 + x2 + 2 * x1)
  f()		w: (8856)
  g()		w: (0)
  app(x1,x2)		w: (x2 + x1)
Number of strict rules: 1
Direct poly ... failed.
Freezing ap
2: ap❆1_f(x) -> ap❆1_f(app(g(),x))
3: ap(f(),_1) ->= ap❆1_f(_1)
Number of strict rules: 1
Direct poly ... removes: 3
  ap(x1,x2)		w: (2 * x2 + x1)
  f()		w: (1)
  ap❆1_f(x1)		w: (2 * x1)
  g()		w: (0)
  app(x1,x2)		w: (x2 + x1)
Number of strict rules: 1
Direct poly ... failed.
Dependency Pairs:
   #1: #ap❆1_f(x) -> #ap❆1_f(app(g(),x))
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  found.
  #ap❆1_f(x)	-#1->
  #ap❆1_f(app(g(),x))	--->*
  #ap❆1_f(app(g(),x))
  Looping with: [ x := app(g(),x); ]